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Baye’s Theorem

If B1, B2, B3,...... Bn are mutually exclusive and exhaustive random events whose individual probabilities are greater than zero, and A be an event within these events. (P(A) > 0), then,
Description: 396.png= Description: 401.png 
Conditional probability
P(AB) = P(A) . Description: 406.png
Description: 411.png= Description: 416.png
Consider one event B which occurs after occurrence of event A, then
Description: 421.png= Description: 426.png
= Description: 431.png
i.e., P(B  A) = P(A) . Description: 436.png
[Multiplication theorem of conditional probability]

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